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How to apply inverse operations to find all of the solutions to an equation with cosine

How to apply inverse operations to find all of the solutions to an equation with cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers solving trigonometric equations, focusing on cosine squared equations. It explains using variables to simplify the process and highlights the importance of the unit circle in finding solutions. The tutorial discusses finding solutions in different quadrants and introduces the concept of periodicity to determine general solutions. It concludes with methods to simplify solutions using periodic properties.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation that needs to be solved in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you convert the cosine function into a variable in the equation?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the steps to solve the equation after converting it to variables?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What values of Theta make the equation true after finding cosine of Theta?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the unit circle in solving trigonometric equations?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What angles in the first quadrant correspond to the cosine value of sqrt 3 / 2?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you reflect angles over the X-axis to find additional solutions?

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